If a right angled triangle ABC of maximum `Delta` area is inscribed in a circle of radius R , then

Options

A. `Delta=2R^(2)`
B. `r=(sqrt2-1)R`
C. `1/(r_(1))+1/(r_(2))+1/(r_(3))=(sqrt2-1)/R`
D. `s=(sqrt2-1)R`

Explanation

To solve the problem of finding the area of a right-angled triangle ABC inscribed in a circle of radius R, we will follow these steps:

### Step-by-Step Solution:

1. **Understanding the Problem**:
- We have a right-angled triangle ABC inscribed in a circle with radius R.
- We need to find the maximum area (Δ) of this triangle.

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